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Finding the Fourth Proportional to 532,612.81, 734,994.31 and 290,896.36

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Solution

The fourth proportional to 532,612.81, 734,994.31 and 290,896.36 is: 401,430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,612.81 : 734,994.31 = 290,896.36 : x
  2. Step 2: Convert to fraction form
    532,612.81/734,994.31 = 290,896.36/x
  3. Step 3: Cross multiply
    532,612.81x = 734,994.31 × 290,896.36
  4. Step 4: Simplify right side
    532,612.81x = 213,807,169,399.71
  5. Step 5: Solve for x
    x = 213,807,169,399.71/532,612.81
  6. Step 6: Final answer
    x = 401,430.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.